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Q. The heat of formation of $CO_{(g)}$ and $CO_{2 (g)} $ are $\Delta H = -110$ and $\Delta H = - 393 \,kJ\, mol^{-1}$ respectively. What is the heat of reaction $(\Delta H)$ (in $kJ\, mol^{-1})$ for the following reaction ?
$ CO_{(g)}+ \frac{1}{2}O_{2(g)} \to CO_{2(g)}$

UP CPMTUP CPMT 2008

Solution:

$C_{(s)}+1/20 _{2(g)} \to CO_{(g)} ; \Delta H =-110 KJ/mol \dots (1)$
$C_{(s)}+O_{2(g)} \to CO_{2(g)}; \Delta H =-393 \,KJ/mol \dots (2)$
or $CO_{(g)} \to C_{(s)}+1/2O_{2(g)} ; \Delta H=110 kJ/mol \dots (3)$
Adding (2) and (3)
$CO_{(g)}+1/2 O_{2(g)} \to CO_{2(g)}$
$\Delta H=(-393+110)kJ$
$=-283\,kJ/mol$